A lemma (entry) may depend on lemmas (entries) below its position, but never on lemmas
above its position. This means the list is a topological order of the dependency graph.
An entry 'all subs proved' means that all used lemmas are (transitively) proved.
| Name: | Status: | Subs proved? | Used: |
|---|
| step-L1-L7 | proved | all subs proved
| disj-58,
disj-13,
pcstepf-L1,
|
| rely-L5-L6 | proved | all subs proved
| gstepf-L5,
pre-L5,
pcstepf-L5,
|
| step-L1-L8 | proved | all subs proved
| gstepf-L1,
lstepf-L1,
pre-L1,
disj-57,
pcstepf-L1,
|
| step-L6-L7 | proved | all subs proved
| alltids-all,
elim-02,
elim-03,
lstepf-L6,
updsel-54,
gstepf-L6,
updsel-41,
updsel-42,
updsel-35,
updsel-36,
updsel-23,
updsel-24,
updsel-47,
updsel-48,
updsel-29,
updsel-30,
pre-L6,
disj-16,
pcstepf-L6,
|
| rely-L6-L7 | proved | all subs proved
| updsel-29,
updsel-30,
gstepf-L6,
updsel-54,
pre-L6,
disj-16,
pcstepf-L6,
|
| rely-L6-L3 | proved | all subs proved
| gstepf-L6,
pre-L6,
disj-16,
pcstepf-L6,
|
| step-L7-L3 | proved | all subs proved
| updsel-14,
lstepf-L7,
gstepf-L7,
updsel-11,
pre-L7,
pcstepf-L7,
|
| rely-L2-L1 | proved | all subs proved
| disj-07,
gstepf-L2-0,
inj-04,
inj-07,
upd-12,
sel-09,
upd-05,
sel-08,
sel-16,
upd-08,
sel-12,
gstepf-L2-1,
elim-02,
elim-03,
pre-L2,
disj-35,
pcstepf-L2,
|
| step-L2-L1 | proved | all subs proved
| disj-07,
lstepf-L2-0,
gstepf-L2-0,
inj-04,
updsel-11,
lstepf-L2-1,
inj-07,
upd-12,
updsel-14,
sel-16,
upd-08,
sel-12,
gstepf-L2-1,
elim-03,
pre-L2,
disj-35,
pcstepf-L2,
|
| rely-L2-L3 | proved | all subs proved
| updsel-26,
updsel-30,
updsel-14,
updsel-11,
gstepf-L2-1,
updsel-54,
disj-07,
inj-04,
pre-L2,
disj-35,
pcstepf-L2,
|
| step-L2-L3 | proved | all subs proved
| alltids-all,
elim-02,
elim-03,
updsel-14,
lstepf-L2-1,
updsel-54,
updsel-11,
gstepf-L2-1,
updsel-38,
updsel-42,
updsel-32,
updsel-36,
updsel-20,
updsel-24,
updsel-44,
updsel-48,
updsel-26,
updsel-30,
disj-07,
inj-04,
pre-L2,
disj-35,
pcstepf-L2,
|
| step-L3-L1 | proved | all subs proved
| gstepf-L3,
lstepf-L3,
pre-L3,
disj-37,
pcstepf-L3,
|
| step-L3-L4 | proved | all subs proved
| lstepf-L3,
gstepf-L3,
pre-L3,
disj-37,
pcstepf-L3,
|
| step-L6-L3 | proved | all subs proved
| lstepf-L6,
gstepf-L6,
pre-L6,
disj-16,
pcstepf-L6,
|
| step-L4-L0 | proved | all subs proved
| disj-08,
inj-03,
elim-02,
elim-03,
pre-L4,
disj-26,
pcstepf-L4,
|
| step-L4-L5 | proved | all subs proved
| updsel-15,
lstepf-L4-0,
updsel-12,
updsel-18,
disj-08,
inj-03,
gstepf-L4,
pre-L4,
disj-26,
pcstepf-L4,
|
| step-L5-L6 | proved | all subs proved
| updsel-56,
lstepf-L5,
gstepf-L5,
updsel-55,
updsel-57,
pre-L5,
pcstepf-L5,
|
| step-L1-L2 | proved | all subs proved
| gstepf-L1,
lstepf-L1,
pre-L1,
disj-57,
pcstepf-L1,
|
| init | proved | all subs proved
| alltids-all,
|
| disj-13 | axiom | | |
| disj-58 | axiom | | |
| updsel-47 | axiom | | |
| updsel-23 | axiom | | |
| updsel-35 | axiom | | |
| updsel-41 | axiom | | |
| updsel-29 | axiom | | |
| pcstepf-L7 | axiom | | |
| pre-L7 | axiom | | |
| gstepf-L7 | axiom | | |
| lstepf-L7 | axiom | | |
| sel-08 | axiom | | |
| upd-05 | axiom | | |
| sel-09 | axiom | | |
| sel-12 | axiom | | |
| upd-08 | axiom | | |
| sel-16 | axiom | | |
| upd-12 | axiom | | |
| inj-07 | axiom | | |
| gstepf-L2-0 | axiom | | |
| lstepf-L2-0 | axiom | | |
| pcstepf-L2 | axiom | | |
| disj-35 | axiom | | |
| pre-L2 | axiom | | |
| inj-04 | axiom | | |
| disj-07 | axiom | | |
| updsel-30 | axiom | | |
| updsel-26 | axiom | | |
| updsel-48 | axiom | | |
| updsel-44 | axiom | | |
| updsel-24 | axiom | | |
| updsel-20 | axiom | | |
| updsel-36 | axiom | | |
| updsel-32 | axiom | | |
| updsel-42 | axiom | | |
| updsel-38 | axiom | | |
| gstepf-L2-1 | axiom | | |
| updsel-11 | axiom | | |
| updsel-54 | axiom | | |
| lstepf-L2-1 | axiom | | |
| updsel-14 | axiom | | |
| pcstepf-L3 | axiom | | |
| disj-37 | axiom | | |
| pre-L3 | axiom | | |
| gstepf-L3 | axiom | | |
| lstepf-L3 | axiom | | |
| pcstepf-L6 | axiom | | |
| disj-16 | axiom | | |
| pre-L6 | axiom | | |
| gstepf-L6 | axiom | | |
| lstepf-L6 | axiom | | |
| elim-03 | axiom | | |
| elim-02 | axiom | | |
| pcstepf-L4 | axiom | | |
| disj-26 | axiom | | |
| pre-L4 | axiom | | |
| gstepf-L4 | axiom | | |
| inj-03 | axiom | | |
| disj-08 | axiom | | |
| updsel-18 | axiom | | |
| updsel-12 | axiom | | |
| lstepf-L4-0 | axiom | | |
| updsel-15 | axiom | | |
| pcstepf-L5 | axiom | | |
| pre-L5 | axiom | | |
| updsel-57 | axiom | | |
| updsel-55 | axiom | | |
| gstepf-L5 | axiom | | |
| lstepf-L5 | axiom | | |
| updsel-56 | axiom | | |
| pcstepf-L1 | axiom | | |
| disj-57 | axiom | | |
| pre-L1 | axiom | | |
| lstepf-L1 | axiom | | |
| gstepf-L1 | axiom | | |
| alltids-all | axiom | | |